in 52 of the 80 years from 1926 through 2005 a certain stock market finished higher after the first week of trading. In 41 of those 52 years, this market finished higher for the year. The following table gives the first-week and annual performance of the market over this 80-year period. Use the table to answer (a) through (c) below. D FIRST WEEK Higher Lower ANNUAL PERFORMANCE Higher 41 14 Lower 11 14 a. If a year is selected at random, what is the probability that the market finished higher for the year? "Round to four decimal places as needed.) b. Given that the market finished higher after the first week of trading, what is the probability that it finished higher for the year? (Round to four decimal places as needed.) c. Are the two events "first-week performance" and "annual performance" independent? Explain. OA. No, the probabilities in (a) and (b) are equal, which means that one event affects the probability of occurence of the other event. OB. Yes, the probabilities in (a) and (b) are equal, which means that neither event affects the probability of occurence of the other event. OC. Yes, the probabilities in (a) and (b) are not equal, which means that neither event affects the probability of occurence of the other event. OD. No, the probabilities in (a) and (b) are not equal, which means that one event affects the probability of occurence of the other event.
in 52 of the 80 years from 1926 through 2005 a certain stock market finished higher after the first week of trading. In 41 of those 52 years, this market finished higher for the year. The following table gives the first-week and annual performance of the market over this 80-year period. Use the table to answer (a) through (c) below. D FIRST WEEK Higher Lower ANNUAL PERFORMANCE Higher 41 14 Lower 11 14 a. If a year is selected at random, what is the probability that the market finished higher for the year? "Round to four decimal places as needed.) b. Given that the market finished higher after the first week of trading, what is the probability that it finished higher for the year? (Round to four decimal places as needed.) c. Are the two events "first-week performance" and "annual performance" independent? Explain. OA. No, the probabilities in (a) and (b) are equal, which means that one event affects the probability of occurence of the other event. OB. Yes, the probabilities in (a) and (b) are equal, which means that neither event affects the probability of occurence of the other event. OC. Yes, the probabilities in (a) and (b) are not equal, which means that neither event affects the probability of occurence of the other event. OD. No, the probabilities in (a) and (b) are not equal, which means that one event affects the probability of occurence of the other event.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:In 52 of the 80 years from 1926 through 2005 a certain stock market finished higher after the first week of trading. In 41 of those 52 years, this market finished higher for the year. The following table gives the
first-week and annual performance of the market over this 80-year period. Use the table to answer (a) through (c) below.
D
FIRST WEEK
Higher
Lower
ANNUAL PERFORMANCE
Higher
41
14
Lower
11
14
a. If a year is selected at random, what is the probability that the market finished higher for the year?
(Round to four decimal places as needed.)
b. Given that the market finished higher after the first week of trading, what is the probability that it finished higher for the year?
(Round to four decimal places as needed.)
c. Are the two events "first-week performance" and "annual performance" independent? Explain.
O A. No, the probabilities in (a) and (b) are equal, which means that one event affects the probability of occurence of the other event.
O B. Yes, the probabilities in (a) and (b) are equal, which means that neither event affects the probability of occurence of the other event.
O C. Yes, the probabilities in (a) and (b) are not equal, which means that neither event affects the probability of occurence of the other event.
O D. No, the probabilities in (a) and (b) are not equal, which means that one event affects the probability of occurence of the other event.
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